Hemitesseract (7-dimensional)
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| Hemitesseract (7-dimensional) | |
|---|---|
| Rank | 4 |
| Dimension | 7 |
| Type | Regular |
| Elements | |
| Cells | 4 7-dimensional cubes |
| Faces | 12 skew squares |
| Edges | 16 |
| Vertices | 8 |
| Related polytopes | |
| Army | Oca |
| Abstract & topological properties | |
| Flag count | 192 |
| Schläfli type | {4,3,3} |
| Orientable | Yes |
| Skeleton | K 4,4 |
| Properties | |
| Flag orbits | 1 |
| Convex | No |
The simplex realization of the hemitesseract is a regular polychoron in 7-dimensional Euclidean space. It can be constructed as the blend of the pure hemitesseract with the dyad, or as the simplex realization of the abstract hemitesseract. The former construction gives a regular polytope a degree of freedom,[note 1] while the latter does not.
Vertex coordinates[edit | edit source]
![[icon]](/wiki/File:Dodecahedron_vertices.svg) | This polytope is missing vertex coordinates. (July 2024) |
Related polytopes[edit | edit source]
The simplicial realization of the hemitesseract is one of two faithful symmetric realizations of the hemitesseract; the other being the pure hemitesseract in 6 dimensions.
External links[edit | edit source]
- Hartley, Michael. "{4,3,3}*192".
Notes[edit | edit source]
- ↑ Scaling is ignored as a degree of freedom here.